Nonlinear inverse problems with noisy operators and applications in nonparametric instrumental regression:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Uelvesbüll
<<Der>> Andere Verl.
2012
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 108 S. graph. Darst. 21 cm |
| ISBN: | 9783862472772 |
Internformat
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| 245 | 1 | 0 | |a Nonlinear inverse problems with noisy operators and applications in nonparametric instrumental regression |c vorgelegt von Fabian Dunker |
| 264 | 1 | |a Uelvesbüll |b <<Der>> Andere Verl. |c 2012 | |
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| 336 | |b txt |2 rdacontent | ||
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| 502 | |a Zugl.: Göttingen, Univ., Diss., 2012 | ||
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Datensatz im Suchindex
| _version_ | 1804149672843935744 |
|---|---|
| adam_text | IMAGE 1
CONTENTS
1 INTRODUCTION 1
2 M A T H E M A T I C A L M O D E L A N D APPLICATIONS 3
2.1 N O N P A R A M E T R I C REGRESSION W I T H I N D E P E N D E N T I
N S T R U M E N T S 3
2.2 N O N P A R A M E T R I C QUARITILE REGRESSION W I T H I N S T R U M
E N T A L VARIABLES 8
2.3 M A T H E M A T I C A L MODEL 13
3 DENSITY E S T I M A T I O N 1 7
3.1 KERNEL D E N S I T Y E S T I M A T O R S 17
3.2 SCRIES E S T I M A T O R S 20
4 ITERATIVELY REGULARIZED G A U S S - N E W T O N M E T H O D 2 7
4.1 T H E M E T H O D 2 7
4.2 A L T E R N A T I V E M E T H O D S 3 1
5 C O N V E R G E N C E P R O O F W I T H S P E C T R A L M E T H O D S
3 3
5.1 SPECTRA] S O U R C E C O N D I T I O N S 34
5.2 E R R O R ANALYSIS 3 6
5.2.1 E R R O R D E C O M P O S I T I O N 3 6
5.2.2 LIPSCHITZ C O N D I T I O N 3 7
5.2.3 A P P R O X I M A T I O N E R R O R 3 8
5.2.4 P R O P A G A T E D NOISE E R R O R 3 9
5.2.5 DERIVATIVE NOISE E R R O R 4 3
5.2.6 N O N L I N C A R I T Y E R R O R 4 8
5.3 P R O O F S O F CONVERGENCE 5 1
5.3.1 D E T E R M I N I S T I C NOISE A N D CONVERGENCE IN P R O B A B I
L I T Y 5 2
5.3.2 CONVERGENCE O F T H E E X P E C T E D S Q U A R E E R R O R 54
5.4 A POSTERIORI P A R A M E T E R CHOICE 6 1
6 C O N V E R G E N C E P R O O F WITH VARIATIONAL M E T H O D S 6 7
6.1 B R E G M A N D I S T A N C E S 6 8
6.2 VARIATIONAL S O U R C E C O N D I T I O N S 70
6.3 P R O O F S OF CONVERGENCE 7 3
6.3.1 D E T E R M I N I S T I C ERRORS 7 3
6.3.2 R A N D O M NOISE 7 9
HTTP://D-NB.INFO/1024439399
IMAGE 2
7 NUMERICAL SIMULATIONS 8 3
7.1 I M P L E M E N T A T I O N 8 3
7.2 B I N A R Y I N S T R U M E N T 8 5
7.3 C O N T I N U O U S I N S T R U M E N T S 9 2
8 CONCLUSION 1 0 1
BIBLIOGRAPHY 1 0 3
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| any_adam_object | 1 |
| author | Dunker, Fabian |
| author_facet | Dunker, Fabian |
| author_role | aut |
| author_sort | Dunker, Fabian |
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| building | Verbundindex |
| bvnumber | BV040588515 |
| ctrlnum | (OCoLC)819444048 (DE-599)DNB1024439399 |
| dewey-full | 515.357 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.357 |
| dewey-search | 515.357 |
| dewey-sort | 3515.357 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Thesis Book |
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| genre_facet | Hochschulschrift |
| id | DE-604.BV040588515 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:26:45Z |
| institution | BVB |
| isbn | 9783862472772 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025416509 |
| oclc_num | 819444048 |
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| physical | 108 S. graph. Darst. 21 cm |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | <<Der>> Andere Verl. |
| record_format | marc |
| spelling | Dunker, Fabian Verfasser aut Nonlinear inverse problems with noisy operators and applications in nonparametric instrumental regression vorgelegt von Fabian Dunker Uelvesbüll <<Der>> Andere Verl. 2012 108 S. graph. Darst. 21 cm txt rdacontent n rdamedia nc rdacarrier Zugl.: Göttingen, Univ., Diss., 2012 Nichtparametrische Regression (DE-588)4745075-7 gnd rswk-swf Regularisierungsverfahren (DE-588)4846428-4 gnd rswk-swf Nichtlineares inverses Problem (DE-588)4453043-2 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Nichtlineares inverses Problem (DE-588)4453043-2 s Nichtparametrische Regression (DE-588)4745075-7 s Regularisierungsverfahren (DE-588)4846428-4 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025416509&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dunker, Fabian Nonlinear inverse problems with noisy operators and applications in nonparametric instrumental regression Nichtparametrische Regression (DE-588)4745075-7 gnd Regularisierungsverfahren (DE-588)4846428-4 gnd Nichtlineares inverses Problem (DE-588)4453043-2 gnd |
| subject_GND | (DE-588)4745075-7 (DE-588)4846428-4 (DE-588)4453043-2 (DE-588)4113937-9 |
| title | Nonlinear inverse problems with noisy operators and applications in nonparametric instrumental regression |
| title_auth | Nonlinear inverse problems with noisy operators and applications in nonparametric instrumental regression |
| title_exact_search | Nonlinear inverse problems with noisy operators and applications in nonparametric instrumental regression |
| title_full | Nonlinear inverse problems with noisy operators and applications in nonparametric instrumental regression vorgelegt von Fabian Dunker |
| title_fullStr | Nonlinear inverse problems with noisy operators and applications in nonparametric instrumental regression vorgelegt von Fabian Dunker |
| title_full_unstemmed | Nonlinear inverse problems with noisy operators and applications in nonparametric instrumental regression vorgelegt von Fabian Dunker |
| title_short | Nonlinear inverse problems with noisy operators and applications in nonparametric instrumental regression |
| title_sort | nonlinear inverse problems with noisy operators and applications in nonparametric instrumental regression |
| topic | Nichtparametrische Regression (DE-588)4745075-7 gnd Regularisierungsverfahren (DE-588)4846428-4 gnd Nichtlineares inverses Problem (DE-588)4453043-2 gnd |
| topic_facet | Nichtparametrische Regression Regularisierungsverfahren Nichtlineares inverses Problem Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025416509&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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